Answer:
The expression in simplified form:
[tex]10^a\times \:10^b=10^{a+b}[/tex]
Step-by-step explanation:
Given the expression
''10 to some power, a, multiplied by 10 to some power, b''.
Writing in an algebraic expression
[tex]10^a\times 10^b[/tex]
Solving the expression
[tex]10^a\times 10^b[/tex]
Now, applying the exponent rule: [tex]a^b\times \:a^c=a^{b+c}[/tex]
Thus,
[tex]10^a\times \:10^b=10^{a+b}[/tex]
Therefore, expression in simplified form:
[tex]10^a\times \:10^b=10^{a+b}[/tex]
